Affiliation:
1. Mathematical Institute, University of Cologne, Weyertal 86–90, 50931 Cologne, Germany
Abstract
In this paper we prove that the number of partitions into squares with an even number of parts is asymptotically equal to that of partitions into squares with an odd number of parts. We further show that, for [Formula: see text] large enough, the two quantities are different and which of the two is bigger depends on the parity of [Formula: see text] This solves a recent conjecture formulated by Bringmann and Mahlburg (2012).
Funder
the European Research Council under the European Union's Seventh Framework Programme
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
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